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Finding the Fourth Proportional to 208,233.68, 287,365.96 and 127,629.52

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Solution

The fourth proportional to 208,233.68, 287,365.96 and 127,629.52 is: 176,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,233.68 : 287,365.96 = 127,629.52 : x
  2. Step 2: Convert to fraction form
    208,233.68/287,365.96 = 127,629.52/x
  3. Step 3: Cross multiply
    208,233.68x = 287,365.96 × 127,629.52
  4. Step 4: Simplify right side
    208,233.68x = 36,676,379,539.14
  5. Step 5: Solve for x
    x = 36,676,379,539.14/208,233.68
  6. Step 6: Final answer
    x = 176,130.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.